Question

Fill in the blank with the recursive function. Be sure to include the starting point.

Answer 1

Answer:

The recursive  function that represents the number of books Ashley has at any time is

$a_n=a_{n-1}-n$

starting at

$a_1=100$

Step-by-step explanation:

Ashley has 100 books that she wants to give away at the rate of n books per week.

So,

$a_1=100\\ \\a_2=100-n=a_1-n\\ \\a_3=a_2-n\\ \\...\\ \\a_n=a_{n-1}-n$

Thus, the recursive  function that represents the number of books Ashley has at any time is

$a_n=a_{n-1}-n$

starting at

$a_1=100$